1. Recall isometric drawing from lesson 1
What are the dimensions?
1 x 1 x 1
Cube
The dimensions of a cuboid or cube also show you how many cubes are needed to make the shape? This is the volume.

2. Recall isometric drawing from lesson 1
What are the dimensions?
Dimensions
2 x 1 x 3
Dimensions
2 x 2 x 5

3. Recall isometric drawing from lesson 1
How many cubes would be needed to make these shapes? (What is their volume?)
Dimensions
2 x 1 x 3
Volume = 6cm3
If you multiply the dimensions you can find the number of cubes needed (the volume). Why is that?
What if you multiply the dimensions in a different order?
Dimensions
2 x 2 x 5
Volume = 20cm3

4. On your whiteboards:
Write down the dimensions of a cuboid that would have a volume of 12cm3.
And another.
How many can you find?

5. The cube and the cuboids below haven’t been draw on isometric paper
The cube and the cuboids below haven’t been draw on isometric paper. How can you tell?
How many cm cubes would be needed to make these shapes? (What is their volume in cm3?)

6. How many cm cubes would be needed to make one cubic metre?
(That’s a cube where each side is one metre long)
Fill in the gap:
1 cubic metre = ______ cm3
1 m
1 m
1 m

7. How many cm3 can you fit in this room?
What do you need to think about?

8. The drawing shows 2 cuboids that have the same volume.
Work out the value of the length marked x

9. CHALLENGES
(a) The diagram shows a cuboid. The areas of the faces are 3, 12 and 25 cm2. What is the volume of the box?
(b) The areas of the faces of a cuboid are p, q and r. What is the volume of the cuboid in terms of p, q and r?